Solve this geometry proof table.

Question

Proof that if B is the midpoint of AC and C is te midpoint of BD than AB=~CD

Drawing: http://i.imgur.com/tJiaB.png

Given: _______
Prove: _______

Write at least 5 or more statements and the reason behind each.

Answer 1

By definition, AB=BC and BC=CD, so AB=BC=CD and since AB+BC+CD=AD, AB=BC=CD=AD/3. AB=CD=AD/3.

Since there are three equal-sized segments,

AB=BC; AB=CD; BC=CD; AD=3AB=3BC=3CD; AC=BD=2AB=2BC=2CD